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A) Find the equation for the line of best fit Keep at least decimals for each parameter in theequation:b) Interpret the slope in context:Dustin should expect -0.037...

Question

A) Find the equation for the line of best fit Keep at least decimals for each parameter in theequation:b) Interpret the slope in context:Dustin should expect -0.0374 hours per brightness level:Dustin should expect -0.0374 brightness level per hour.What does the equation predict for the number of hours the phone will last at brightness level of 25?hours

a) Find the equation for the line of best fit Keep at least decimals for each parameter in the equation: b) Interpret the slope in context: Dustin should expect -0.0374 hours per brightness level: Dustin should expect -0.0374 brightness level per hour. What does the equation predict for the number of hours the phone will last at brightness level of 25? hours



Answers

The slope of the line of best fit represents the increase in words per minute for each additional week of practice. Based on the slope of the line, by approximately how many words per minute can the student expect to increase his or her speed for each additional week of practice? A. 100 B. 75 C. 50 D. 25 E. 10

The end goal of this problem is to express the equation in both standard form and slope intercept form for part A and part B. However, before we can do that, we have to find an equation of the line in the first place. To do that, we will require using point slope form the information that we have been given just a random point. That is not a Y intercept and the slope is not enough for us to immediately go to standard form or slope intercept form. We have to use point slope form first. Then we can work our way into whatever form we want. Okay, remember, point slow form, as the name implies, is what you use for when you have a point and a slope. That's the difference. Understand that slope intercept form is named that way because it's for whenever you have a slope and an intercept. We do not have an intercept here because five comma eight is just a random point. It's not an intercept. Okay, so we have to use point slope form because all we have is just a point in a slope in point slope form. There are three things you're plugging in your plugging in your ex of one an x coordinate your plugging in your wife's of one a y coordinate and you're plugging in m your slope from the information we've been given, five would be representing our X of one eight would be representing our Y sub one and negative to would be representing our slope. All we have to do is just plug those three numbers in to the point slope form right here. That means we would have Why minus are y sub one of eight equals our slope of negative, too. Times the quantity of X minus are acceptable in coordinate of five. Now, that is any equation of line. Okay, that it that is the line that we're dealing with. That is an equation for it. What we have to do now is what it specifically asked us to in the question which is to write the equation in standard form and then write the equation in slope intercept formas. Well, in order to do that, we're gonna have to start solving this problem out. Okay? So, understand, We've done what we started with, which was what with the first asked us to do is to find an equation of the line we found in equation. Now we're just making sure this equation is in the forms that it wants. First thing that I see here, I've got a negative to outside of parentheses being multiplied to it. That's a distributive property. So let's take negative two times X and negative. Two times negative five. That would give us still why minus eight on the left side, that's just rewriting. Negative. Two times X is negative. Two X negative. Two times negative. Five is positive. 10. All right, so now we just have to figure out which form we want to go for. 1st 1 is part A, which is standard form. So I guess we'll start with standard form. Okay, Member standard form is a X plus B y equals C, meaning in standard form. Our goal is to get X and y both on the same side and all the constants on the other side. Okay, so we're going to start from this Y minus eight equals and negative two X plus 10. If we're going for standard form, do that off to the left here, then in that case. If we've got why minus eight equals negative two X plus 10 it's good that why is on the left side, but negative two X is on the wrong side. It's supposed to be on the left along with Why, so the way to move negative two x over would be to add it to the other side of the equation. That would give us two X plus. Why minus eight equals 10. Well, we've got X and Y on the left side, so that's good. That's what we wanted for standard form. Last step is we have to get all the constants, all the numbers to the right side, meaning we need to move negative eight to the right side, the opposite of subtraction. The opposite of negative eight is positive. Eight. So we're simply going to add eight to the other side. That would give us two X plus. Why equals 18 in that is our equation in standard form. Now we need to take this exact same equation and solve it out into slope intercept form. You can start from appear with the Y minus a equals negative two X plus 10 or, if you would prefer. You can just start with what we already found from standard form and solve from there. It doesn't matter, right? These are all the same equation. So it doesn't matter which step you want to start from. You're still just solving out the same thing. Remember, our goal for slope intercept form is it needs to be. Why equals m x plus B, Meaning we need to get. Why by itself. Okay, well, in this case, it's a one steps off. In order to get wide by itself, we simply need toe add eight to the other side. We want to add it to its like terms, so we don't want to take negative too explicit. We want to take 10 plus eight. So we rewrite the negative two x and 10 plus eight would give us 18 which is our slope intercept form. Notice that if you'd started from over here, you simply would have just subtracted the two x over, and you still would have got why equals negative two X plus 18. It's the same thing either way. Okay,

In order to write in the near equation, you need two points, and they're asking you to use the point from 2001 in 2004 and more. This is about the number of wireless communications subscribers in millions. Um, compared to the year. So for the first point, we're gonna use 2001 and you can see that there are 944 and to tense number 1,000,000. And in 2004 there is 1500 to in nine tens milion. Now we need Teoh first, find the slope. So what you want to do is you want us attract the wise So 15 2.90 0.9 minus sign for four. I want to subtract those two and then you want us attract the X. So 2000 force attract 2001. When you subtract that you will get 500 58 minutes of intense over three years and then when you reduce it, it will come out to be 100 86 point point 2/1. And this would mean that there are 100 86.2 million subscribers every year and it's increasing every year. Now we need to find an equation we need used in equation Teoh, determine the number of subscribers in 2003. So we know that's the slow. And then now we need to find one of the points. So in this situation, I'm just gonna use the first point. All right, If you have a point of slip, get use the point slope form. So why minus? Why one so X minus X one. I'm gonna use this point here. And this lope here. So why? Minus 944.2 is equal to 1 86.2 then x minus. Remember, this is the first year in 2000 so you just want to use one is not 2001 years. So there's the first year. Now we're going to multiply that out. So we will have wise minus 9 44 0.2 is equal to 1 86.2 X minus 1 86.2 Add 944 0.2 to both sides. Okay. In the areas. This little part. Okay. And then we will have the equation s. Why is equal to 1 86.2 X plus 7 58 Now we need to use this equation. This equation could be used for any year, and they're asking us to find the value for 2003. So for year three, you wanna plug in three in this situation? So why is equal to 1 86.2 times three plus 7 58 we do the mass, you will be 558.6 plus 7 58 So year three, there will be about 1316.6 subscribers and in actual

In the kitchen, it is saying that we have to find the line equation which is passing through give one point. That is yeah Mama B. And this line has a slope that is M is equal to zero. So by using these two conditions, I have to find line equation. So my answer is as we as you can see that slope is zero. It means that these chinese parallel to the X axis, so due to parallel to X axis. Then I also can say that this train is a whole gentle line and we know the general equation of general equation for whole gentle line is dead. Yeah why is equal to y one whereby one is a coordinate of given point, so why will be equal to y. One will be equal to B. Then I will say that the line in question is why is equal to be so this is the line equation. Thank you.

Were asked to find an equation for a line that passes through the point negative two comma eight and has an undefined slope. We know from this section that there is only one type of line that has an undefined slope, namely vertical lines. This must be a vertical line. Then we also know that vertical lines only have one type of equation. It is always X equals some number you don't have to worry about a why being involved or anything like that is just X equals a number, a constant. So the only question had to figure out is, what is that constant? Well, we've been given a coordinate point. If we're Onley dealing with X, if it's X equals, it makes sense then that we should be dealing with the X coordinate in this case are X coordinate is negative two. So our equation would be X equals negative to. There's no reason to mess with the eight because we're not dealing with any wise. Since the slope is undefined


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